#### Answer

$x=+3.32$ and $x=-3.32$

#### Work Step by Step

The given equation is
$\Rightarrow x^2+8=19$
Subtract $8$ from each side.
$\Rightarrow x^2+8-8=19-8$
Simplify.
$\Rightarrow x^2=11$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt{11}$
Use a calculator.
$\Rightarrow x=\pm3.32$
Two real solutions are
$\Rightarrow x=+3.32$ or $x=-3.32$
Hence, the solutions are $x=+3.32$ and $x=-3.32$.